Information on Result #880821
Linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,8P) based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4167, 4194310, F4, 2, 18) (dual of [(4194310, 2), 8388453, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4179, 4194310, F4, 2, 19) (dual of [(4194310, 2), 8388441, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(463, 38, F4, 2, 39) (dual of [(38, 2), 13, 40]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(464, 39, F4, 2, 39) (dual of [(39, 2), 14, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(462, 38, F4, 2, 38) (dual of [(38, 2), 14, 39]-NRT-code) | [i] | ||
| 6 | Linear OOA(463, 39, F4, 2, 38) (dual of [(39, 2), 15, 39]-NRT-code) | [i] | ||
| 7 | Linear OOA(4172, 90, F4, 2, 120) (dual of [(90, 2), 8, 121]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(4178, 93, F4, 2, 125) (dual of [(93, 2), 8, 126]-NRT-code) | [i] | ||
| 9 | Linear OOA(4226, 117, F4, 2, 161) (dual of [(117, 2), 8, 162]-NRT-code) | [i] | ||
| 10 | Linear OOA(4122, 64, F4, 2, 93) (dual of [(64, 2), 6, 94]-NRT-code) | [i] | ||
| 11 | Linear OOA(4146, 76, F4, 2, 109) (dual of [(76, 2), 6, 110]-NRT-code) | [i] | ||
| 12 | Linear OOA(4178, 92, F4, 2, 133) (dual of [(92, 2), 6, 134]-NRT-code) | [i] | ||
| 13 | Linear OOA(4234, 120, F4, 2, 177) (dual of [(120, 2), 6, 178]-NRT-code) | [i] | ||
| 14 | Linear OOA(494, 49, F4, 2, 75) (dual of [(49, 2), 4, 76]-NRT-code) | [i] | ||
| 15 | Linear OOA(4150, 77, F4, 2, 119) (dual of [(77, 2), 4, 120]-NRT-code) | [i] | ||
| 16 | Linear OOA(4178, 91, F4, 2, 141) (dual of [(91, 2), 4, 142]-NRT-code) | [i] | ||
| 17 | Linear OOA(4206, 105, F4, 2, 163) (dual of [(105, 2), 4, 164]-NRT-code) | [i] | ||
| 18 | Linear OOA(4234, 119, F4, 2, 185) (dual of [(119, 2), 4, 186]-NRT-code) | [i] | ||
| 19 | Linear OOA(4180, 93, F4, 2, 144) (dual of [(93, 2), 6, 145]-NRT-code) | [i] | ||
| 20 | Linear OOA(4190, 98, F4, 2, 153) (dual of [(98, 2), 6, 154]-NRT-code) | [i] | ||
| 21 | Linear OOA(4196, 101, F4, 2, 154) (dual of [(101, 2), 6, 155]-NRT-code) | [i] | ||
| 22 | Linear OOA(4206, 106, F4, 2, 163) (dual of [(106, 2), 6, 164]-NRT-code) | [i] | ||
| 23 | Linear OOA(4240, 123, F4, 2, 189) (dual of [(123, 2), 6, 190]-NRT-code) | [i] | ||
| 24 | Linear OOA(4250, 128, F4, 2, 198) (dual of [(128, 2), 6, 199]-NRT-code) | [i] | ||
| 25 | Linear OOA(4180, 92, F4, 2, 153) (dual of [(92, 2), 4, 154]-NRT-code) | [i] | ||
| 26 | Linear OOA(4190, 97, F4, 2, 160) (dual of [(97, 2), 4, 161]-NRT-code) | [i] | ||
| 27 | Linear OOA(4192, 98, F4, 2, 161) (dual of [(98, 2), 4, 162]-NRT-code) | [i] | ||
| 28 | Linear OOA(4194, 99, F4, 2, 163) (dual of [(99, 2), 4, 164]-NRT-code) | [i] | ||
| 29 | Linear OOA(4200, 102, F4, 2, 167) (dual of [(102, 2), 4, 168]-NRT-code) | [i] | ||
| 30 | Linear OOA(4202, 103, F4, 2, 168) (dual of [(103, 2), 4, 169]-NRT-code) | [i] | ||
| 31 | Linear OOA(4204, 104, F4, 2, 170) (dual of [(104, 2), 4, 171]-NRT-code) | [i] | ||
| 32 | Linear OOA(4208, 106, F4, 2, 173) (dual of [(106, 2), 4, 174]-NRT-code) | [i] | ||
| 33 | Linear OOA(4210, 107, F4, 2, 174) (dual of [(107, 2), 4, 175]-NRT-code) | [i] | ||
| 34 | Linear OOA(4260, 133, F4, 2, 207) (dual of [(133, 2), 6, 208]-NRT-code) | [i] | ||
| 35 | Linear OOA(238, 27, F2, 2, 19) (dual of [(27, 2), 16, 20]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |